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Finding the Fourth Proportional to 553.08, 762.98 and 320.07

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Solution

The fourth proportional to 553.08, 762.98 and 320.07 is: 441.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.08 : 762.98 = 320.07 : x
  2. Step 2: Convert to fraction form
    553.08/762.98 = 320.07/x
  3. Step 3: Cross multiply
    553.08x = 762.98 × 320.07
  4. Step 4: Simplify right side
    553.08x = 244,205.41
  5. Step 5: Solve for x
    x = 244,205.41/553.08
  6. Step 6: Final answer
    x = 441.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.